4Elasticity of Earnings and Profits for 1% Change in Gold Price Number of ounces 1,280mAdditional pre-tax profits $4.4mAdditional after-tax profits $3.5Additional profits as % of earnings 3.5%Cash flow = Earnings + Noncash charges= 98m + 69m = 167mAdditional profits as % of cash flow 2.1%
8Arguments Pure bet on operational efficiencies for investors. Do they want that or do they want gold?Have funds available to invest when external financing is costly.Eliminating deadweight costs of distress.Tax arguments: If net income is negative, lose use of tax shields.
9Ownership and Risk Management If managers have large stake in firm, they don’t want the risk.Eliminating hedgeable risks makes it possible to have concentrated ownership.Barrick management owns 29.6% of Barrick for a value of $900m.Let’s look at the other firms: Exhibit 3.
14Gold LoansGold loan is equivalent to risk-free loan plus forward sale of gold.
15Forward Price and Contango To get gold at future date:Solution one: Invest at risk-free rate + Long forward.Solution two: Buy gold today.Twist: Since you don’t need gold until future date, you can lend it and earn gold lease rate.
16Example: Exhibit 9 Interest rate is 16.83%; lease rate 2%. Cost of forward strategy for one year: F/1.1683Cost of spot strategy. Since you gain 2% by leasing, you need 1/1.02 units of gold to get one at maturity: S/1.02F = S*1.1683/1.02 = S*1.1545or forward exceeds spot by 15.45%
17CollarsBarrick was willing to use options, but only in the form of costless collars.Buy put and sell call so that premium of put equals premium of call.Example: One year, gold at $333, LIBOR at 4%, gold lease rate at 1.8%, and volatility of gold at 7%.
18Examples Put at $300 strike, premium is $0.30. Call at $350 strike, premium is $5.44.To create a costless collar, sell call for each put.If call is at $370 strike instead, premium is $1.29. You have to sell 0.23 calls.
21Spot at t = 0 is $300, LIBOR is 6% and lease rate is 2% Forward at t=0 $312Production200 oz.200 oz.t = 0t = 1t = 2t = 3
22Case 1: Hedge With Forwards, Spot Is at $500 at t = 1 Value of production sold at forward:200 x 312 = $62,400.Value of production sold at spot:200 x 500 = $100,000.Value of forward contract just before t=1:-$37,600
23Case 2: SDC contractsAt t = 0, Barrick enters in contract to sell either at t = 1 or at t = 2.If at t = 1, it chooses not to deliver on contracts, it sells on spot market at $500.The price set so that “both parties are indifferent between rolling over the contract for another year or closing out the SDC contract and initiating a new one-year forward contract”
24Setting the Price Keep LIBOR and gold lease rate constant. Forward at t=1 is then:500 x ( ) = 520Barrick made a loss of $188 that has to be carried forward at 6%.So, new price is $188 x (1.06) = $320.72
26No. Stopped writing options in 1990 and used only spot deferred. By 1992, historical low for gold and gold volatilities.In 1992, it could insure against gold prices falling below $330 at $4.8 an ounce. With a collar, it had to give up 88% of upside above $350. Refused to do so.
27In 1992, could have sold forward at $340 for cash costs of $205. Was not willing to do so.So, Barrick’s risk management involved substantial speculation.
28Who Uses Derivatives?Many surveys. Let’s look at the 1998 Wharton/CIBC survey.Sent out to 1,928 firms. 399 responded.50% use derivatives.42% have increased usage since previous year; 46% kept constant.Users: 83% of large firms; 45% of medium size companies; 12% of small firms.
31Which FX hedgingBalance sheet commitments (frequently for 54%; average exposure hedged, 49%).Off balance sheet commitments (24%; 23%).Anticipated transactions less than 1 yr (46%; 42%).Anticipated transactions more than 1 yr (12%; 16%).Hedge competitive exposure (11%; 7%).Hedge translation (14%; 12%).
32Maturity effect for FX hedging Percentageof respondingfirmsMaturity of exposure
33Does market view matter? 49% sometimes alter timing of hedges and 51% sometimes alter size according to market view.6% frequently take positions, 26% do so sometimes, to exploit market view.
34Interest rate derivatives Almost all firms using interest rate derivatives report swapping from floating to fixed.
35Options 68% of firms use options; 44% use FX options. 42% use European, 38% use American, 19% use average rate, 9% use basket, 13% use barrier.47% of FX derivatives users use basket options, 39% use average rate, and 69% use barrier!
36Reporting and valuation 4% report to directors monthly, 23% quarterly, and 17% annually.19% value daily; 9% weekly; 27% monthly.40% want risk management to decrease volatility; 22% want increased profit.60% of those who do not use do so because lack of exposure.
37Tufano’s analysis Looks at gold industry. Advantage: Detailed data on exposures and hedges.Disadvantage: One industry.Key result: Managerial options and ownership are important.
41Why the Spectacular Success of Derivatives? They enable you to alter risk.Derivatives can allow you to take risks that are advantageous.Derivatives make it possible for you to shed risks that are costly.It is only recently that finance figured out how to do all this well.